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Dissipation-Time Uncertainty Relation.

Gianmaria Falasco1, Massimiliano Esposito1

  • 1Complex Systems and Statistical Mechanics, Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg, Luxembourg.

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Summary
This summary is machine-generated.

Stochastic systems have a fundamental speed limit. Increased entropy production, or dissipation, dictates a longer time required to complete processes in systems far from equilibrium.

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Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Non-equilibrium Physics

Background:

  • Physical processes in stochastic systems are often limited by thermodynamic constraints.
  • Understanding these limits is crucial for designing efficient processes and devices.

Purpose of the Study:

  • To establish a fundamental tradeoff between entropy production and the time required for processes in stochastic systems.
  • To introduce a novel speed limit for non-equilibrium systems.

Main Methods:

  • Theoretical analysis of entropy production rates in stochastic systems.
  • Derivation of a lower bound for process completion time based on entropy flow.

Main Results:

  • A fundamental tradeoff relation, ⟨S[over ˙]_{e}⟩T≥k_{B}, is proven.
  • This relation bounds the rate of physical processes by entropy flow into reservoirs.
  • A dissipation-time uncertainty relation is established, analogous to time-energy uncertainty.

Conclusions:

  • The entropy production rate fundamentally limits the speed of physical processes in non-equilibrium stochastic systems.
  • Smaller dissipation allows for processes to be completed in larger timeframes.
  • This provides a new perspective on the speed limits imposed by thermodynamics.